Exponential Growth and Decay

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What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase that can be represented by a smooth curve going up.

Tags

CCSS.HSF-IF.C.8B

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a consistent percentage over a period of time, resulting in a rapid decrease that can be represented by a smooth curve going down.

Tags

CCSS.HSF-IF.C.8B

Front

What is Linear Growth?

Back

Linear Growth occurs when a quantity increases by a constant amount over equal intervals of time, represented by a straight line going up.

Front

What is Linear Decay?

Back

Linear Decay occurs when a quantity decreases by a constant amount over equal intervals of time, represented by a straight line going down.

Tags

CCSS.HSF-LE.A.1B

Front

How can you identify Exponential Growth on a graph?

Back

Exponential Growth is identified by a smooth curve that rises steeply as it moves to the right.

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify Exponential Decay on a graph?

Back

Exponential Decay is identified by a smooth curve that falls steeply as it moves to the right.

Tags

CCSS.HSF-IF.C.7E

Front

What does a straight line going up indicate?

Back

A straight line going up indicates Linear Growth.

Tags

CCSS.HSF-LE.A.1B

Front

What does a straight line going down indicate?

Back

A straight line going down indicates Linear Decay.

Tags

CCSS.HSF-LE.A.1B

Front

What is the difference between Linear and Exponential Growth?

Back

Linear Growth increases by a constant amount, while Exponential Growth increases by a constant percentage, leading to much faster growth over time.

Front

What is the formula for Exponential Growth?

Back

The formula for Exponential Growth is: P(t) = P0 * e^(rt), where P0 is the initial amount, r is the growth rate, and t is time.

Tags

CCSS.HSF-LE.A.1A